Year 8 Answers to Data Handing Challenge

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Presentation transcript:

Year 8 Answers to Data Handing Challenge Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 9th December 2013

Problem 1 1.34m 1.38m 1.38m 1.50m 1.67m 1.68m 1.70m 1.87m Lower Quartile: 1.38m Median: 1.585m Upper Quartile: 1.69m ? ? ?

Problem 2 ? 1.3m 1.4m 1.5m 1.6m 1.7m 1.8m 1.9m

Problem 3 ? 𝑀𝑒𝑎𝑛= 13×2 + 14×7 + 15×4 + 16×3 16 =14.5 Age Frequency 13 𝑀𝑒𝑎𝑛= 13×2 + 14×7 + 15×4 + 16×3 16 =14.5 ?

Problem 4 Mean = 7.5×2 + 15×12 + 30×6 20 =18.75 ? Time (t) in minutes Frequency 5<𝑡≤10 2 10<𝑡≤20 12 20<𝑡≤40 6 Mean = 7.5×2 + 15×12 + 30×6 20 =18.75 ?

Problem 5 ? Frequency Weight (kg) 8 7 6 5 4 3 2 1 0 10 20 30 40 0 10 20 30 40 Weight (kg) Weight 𝑤 (in kg) Frequency 10<𝑤≤20 4 20<𝑤≤30 7 30<𝑤≤40 2

Problem 6 ? ? ? Time (t) in minutes Cumulative Frequency 5<𝑡≤10 2 2 5<𝑡≤20 14 5<𝑡≤40 20 ? ? ?

Problem 7 ? Cumulative Frequency Time (minutes) 20 18 16 14 12 10 8 6 0 10 20 30 40 Time (minutes) Time (t) in minutes Cumulative Frequency 5<𝑡≤10 2 5<𝑡≤20 14 5<𝑡≤40 20

Problem 8 ? ? ? Cumulative Frequency Time (minutes) 20 18 16 14 12 10 8 6 4 2 Cumulative Frequency 0 10 20 30 40 Time (minutes) Lower Quartile = 23 mins Median = 17 mins Upper Quartile = 12.5 mins ? ? ?

Problem 9 ? ? ? Time (t) in minutes Frequency Angle 5<𝑡≤10 2 36° 10<𝑡≤20 12 216° 20<𝑡≤40 6 108° ? ? ?